Chaotic vibrations of 3D linear hyperbolic PDEs with linear perturbations of superlinear boundary conditions

作者：Yang, Qigui; Xiang, Qiaomin^*

来源：Journal of Mathematical Analysis and Applications, 2022, 507(1): 125743.

DOI：10.1016/j.jmaa.2021.125743

• Chaotic vibrations
• Three-dimensional hyperbolic PDE
• Superlinear boundary condition
• Perturbations

This article studies the chaotic vibrations of the infinite-dimensional dynamical systems governed by linear hyperbolic partial differential equations (PDEs) in three-dimensional (3D) space, where the boundary conditions include two linear perturbations of superlinear types. A rigorous mathematical theorem that guarantees the occurrence of chaos of such systems is obtained. The main theme of this article is the advancement of existing chaos to 3D hyperbolic PDEs. As applications, two examples are provided for showing the effectiveness of the theoretical chaotic results.

• 单位
  佛山科学技术学院